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1 year ago

9

dr.drazzle collected 70 liters of ocean water to test for antibacterial properties. he split the water into 100 samples . how mu

ch water is in each sample.

1 answer:

Annette [7]1 year ago

8 0

Answer:

Each sample contains 0.70 liters of water.

Step-by-step explanation:

Dr Drazzle collected 70 liters of water of ocean water to test and he split the water into 100 samples.

So by unitary method we can calculate the amount of water in each sample.

∵ 100 samples contain the amount of water = 70 liters

∴ 1 sample contains the amount of water = 70/100 = 0.70 liters

So the answer is 0.70 liters in each sample.

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Answer:

Step-by-step explanation:

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1 year ago

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Drag each expression to show whether it is equivalent to (5⋅9x)+(5⋅1), 45x+15, or 15(3x−1).

JulijaS [17]

Part A: Option e: $5(9 x+1)$

Option f: $45 x+5$

Part B: Option c: $15(3 x+1)$

Option d: $(5 \cdot 9 x)+(5 \cdot 3)$

Part C: Option a: $(5 \cdot 9 x)-(5 \cdot 3)$

Option b: $45 x-15$

Explanation:

Part A: The equation is $(5 \cdot 9 x)+(5 \cdot 1)$

Simplifying, we have,

$45x+5$

Taking the term 5 common out, we have,

$5(9 x+1)$

Thus, the above two expressions are equivalent to the equation $(5 \cdot 9 x)+(5 \cdot 1)$ .

Hence, Option e and Option f are the correct answers.

Part B: The equation is $45 x+15$

Taking the term 15 common out, we have,

$15(3 x+1)$

Also, the equation can be rewritten as,

$(5 \cdot 9 x)+(5 \cdot 3)$

Thus, the above two expressions are equivalent to the equation $45 x+15$

Hence, Option c and Option d are the correct answers.

Part C: The equation is $15(3 x-1)$

Multiplying, we have,

$45 x-15$

The above expression can be rewritten as,

$(5 \cdot 9 x)-(5 \cdot 3)$

Thus, the above two expressions are equivalent to the equation $15(3 x-1)$

Hence, Option a and Option b are the correct answers.

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1 year ago

Marc mows lawns for $25 each lawn, plus $5 for every hour he spends mowing. The equation for his total earnings per lawn is y =

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Answer:

<h2>The flat pay $25 represents the intercept</h2>

Step-by-step explanation:

To answer this question we need to first understand and compare it with the equation of straight line.

i.e $y= mx+c$ which is the equation of line

where m= slope

y= dependent variable

x= independent variable

c= intercept

Given

$y= 25+5h$

comparing both expression we can see that

25 corresponds to c which is the intercept

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1 year ago

Jack is building a square garden. Each side length measures 777 meters. Jack multiplies 7\times77×77, times, 7 to find the amoun

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Answer:

49 square meters represent area of the square garden

Step-by-step explanation:

Each side length=7 meters

He multiplied 7 × 7 times to find the amount of space

=49 square meters

Jack is trying to measure the area of his square garden

Area of the square garden = length^2

=Length × length

Recall,

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Area of the square garden= 7 meters × 7 meters

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2 years ago

A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange.Let B = t

pentagon [3]

Answer:

$P(R\ and\ B) = 0.0256$

Step-by-step explanation:

Given

$Red = 22$

$Yellow = 38$

$Green = 20$

$Purple = 28$

$Blue = 26$

$Orange = 16$

Required

Determine the probability of red then blue jelly? i.e. P(R and B)

From the question, we understand that the red jelly bean was not replaced. This means that the number of jelly beans reduced by 1 after the picking of the red jelly bean

So, we have:

$P(R\ and\ B) = P(R)\ and\ P(B)$

This is then solved further as:

$P(R\ and\ B) = P(R)\ *\ P(B)$

$P(R\ and\ B) = \frac{n(R)}{Total}\ *\frac{n(B)}{Total - 1}$

The probability has a denominator of Total - 1 because the number of jelly beans reduced by 1 after the picking of the red jelly bean

The equation becomes:

$P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{150- 1}$

$P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{149}$

$P(R\ and\ B) = \frac{22*26}{150*149}$

$P(R\ and\ B) = \frac{572}{22350}$

$P(R\ and\ B) = 0.02559284116$

$P(R\ and\ B) = 0.0256$

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1 year ago